Question

(a)
In a game of chance, a moving wheel has 6 numbers 1,2,3,4,5 and
one has to make it move around its axis. If there are equally likes
outcomes, what is the probability that the pointer will point at
a multiple of 2
the least number
the greatest number
​

Answer 1

Step-by-step explanation:

1. 1/2
2. 1/6
3. 1/6

Thank you. .........

Answer 2

Note - The complete first line of the question should be "In a game of chance, a moving wheel has 6 numbers, 1, 2, 3, 4, 5, and 6".

i) The probability of the wheel pointing towards a multiple of 2 is 1/2.

ii) The probability of the wheel pointing towards the least number is 1/6.

iii) The probability of the wheel pointing towards the greatest number is 1/6.

i) • Multiples of 2 from 1 to 6 = 2, 4, and 6

• Number of numbers which are a  multiple of 2 from 1 to 6 = 3

• Therefore,

Probability of the pointer pointing at a multiple of 2 (P₁) = Number of multiples of 2 / Total number of numbers on the wheel

Or, P₁ = 3/6

Or, P₁ = 1/2

ii) • The least number among 1, 2, 3, 4, 5, and 6 is 1.

• There can be only one least number.

• Therefore, probability of the wheel pointing towards the least number (P₂) = 1 / Total number of numbers on the wheel

Or, P₂ = 1/6

iii) • The greatest number among 1, 2, 3, 4, 5, and 6 is 6.

• There can be only one greatest number.

• Therefore, probability of the wheel pointing towards the greatest number (P₃) = 1 / Total number of numbers on the wheel

Or, P₃ = 1/6